The generator matrix

 1  0  1  1  1  0  1  1  X  1 X+2  1  1  1  0  1  1  2  X  1  1 X+2  1  1  1  1  1  1  X  1  2  0  1  1  0  2  X  1  1  X  1  0  1  X  X  0  X  1
 0  1  1  0 X+1  1  X X+3  1 X+2  1  3  0 X+1  1  2 X+3  1  1 X+2  1  1  X  3  3 X+3  1  1  1  2  1  1  2  0  1  X  1  3 X+1  1  X  0  3 X+2  X  1  1  0
 0  0  X X+2  0 X+2  X X+2  X  0  2  0  2  0  0  X X+2 X+2  X  2  X  2 X+2  0  0  X X+2  X X+2  X X+2  0  X  2  0  X  X  2 X+2  X X+2  X  2 X+2 X+2  0 X+2  0
 0  0  0  2  0  0  0  0  0  0  0  0  0  2  2  0  2  2  2  0  2  0  2  2  2  2  2  0  0  2  0  0  2  0  2  0  0  2  0  2  2  0  0  2  0  0  0  0
 0  0  0  0  2  0  0  0  0  0  0  2  0  2  0  0  0  0  2  2  2  2  2  2  2  0  2  2  2  2  0  2  0  0  0  2  2  0  0  0  0  2  2  0  0  2  2  0
 0  0  0  0  0  2  0  0  0  0  0  2  2  2  0  2  2  2  2  0  0  2  0  0  2  2  2  2  2  0  0  0  0  2  2  2  2  0  2  0  0  0  0  2  0  2  0  0
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  0  2  0  2  2  0  0  0  2  0  0  2  2  2  0  2  0  2  2  2  2  0  2  2  0  0  2  0  2  0
 0  0  0  0  0  0  0  2  0  2  2  0  2  0  2  2  0  2  2  0  2  2  2  0  2  0  2  0  0  0  2  0  2  2  2  0  0  2  2  0  0  2  0  0  2  0  2  2
 0  0  0  0  0  0  0  0  2  0  0  2  2  2  0  2  2  0  2  2  2  0  2  2  0  0  2  2  0  0  2  0  2  2  2  2  0  2  0  0  0  0  2  2  2  0  2  0

generates a code of length 48 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+47x^38+78x^39+201x^40+212x^41+470x^42+704x^43+933x^44+1254x^45+1548x^46+1810x^47+1826x^48+1908x^49+1532x^50+1276x^51+963x^52+664x^53+435x^54+206x^55+137x^56+56x^57+50x^58+20x^59+31x^60+2x^61+10x^62+2x^63+3x^64+4x^66+1x^68

The gray image is a code over GF(2) with n=192, k=14 and d=76.
This code was found by Heurico 1.16 in 9.53 seconds.